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Finding the Third Proportional to 174,872.50 and 265,727

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Solution

The third proportional to 174,872.50 and 265,727 is: 403,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,872.50 : 265,727 = 265,727 : x
  2. Step 2: Convert to fraction form
    174,872.50/265,727 = 265,727/x
  3. Step 3: Cross multiply
    174,872.50x = 265,727 × 265,727
  4. Step 4: Simplify right side
    174,872.50x = 70,610,838,529
  5. Step 5: Solve for x
    x = 70,610,838,529/174,872.50
  6. Step 6: Final answer
    x = 403,784.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.